A nickel-steel rod at 21oC is 0.62406m in length. Raising the temperature to 31oC produces an elongation of 121.6&micro;m. Find the length at 0oC and the coefficient of linear expansion.

Expert's answer

2012-01-19T09:39:36-0500

Please take a look at the solution:&lt;img src=&quot;data:image/png;base64,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&quot; alt=&quot;&quot;&gt;